Du S, Li X, Sun S, Li X. Stability analysis and stabilization of discrete-time switched Takagi-Sugeno fuzzy systems.
ISA TRANSACTIONS 2020;
105:24-32. [PMID:
32534729 DOI:
10.1016/j.isatra.2020.06.003]
[Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/27/2019] [Revised: 06/04/2020] [Accepted: 06/04/2020] [Indexed: 06/11/2023]
Abstract
We endeavor to investigate the H∞ synthesis problem of switched fuzzy systems composed by several discrete-time subsystems. By designing a novel QTD-MD Lyapunov function, novel criteria assuring stability as well as an expected H∞ performance are first developed. Based on these sufficient conditions, some other conditions for solving the fuzzy H∞ controllers are derived subsequently. Furthermore, the criteria are given as LMIs, thus the implementations are easy to execute. Simulations are also provided to confirm the feasibility of the presented strategy.
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